• Corpus ID: 245853697

# Eternal Vertex Cover on Bipartite and Co-Bipartite Graphs

```@article{Misra2022EternalVC,
title={Eternal Vertex Cover on Bipartite and Co-Bipartite Graphs},
author={Neeldhara Misra and Saraswati Nanoti},
journal={ArXiv},
year={2022},
volume={abs/2201.03820}
}```
• Published 11 January 2022
• Mathematics, Computer Science
• ArXiv
The ETERNAL VERTEX COVER problem is a dynamic variant of the vertex cover problem. We have a two player game in which guards are placed on some vertices of a graph. In every move, one player (the attacker) attacks an edge. In response to the attack, the second player (the defender) moves some of the guards along the edges of the graph in such a manner that at least one guard moves along the attacked edge. If such a movement is not possible, then the attacker wins. If the defender can defend the…

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